相容并半连续格  

Consistent Join-semicontinuous Lattices

作　　者：赵永鹤[1] 姜广浩[1] 

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《吉林师范大学学报（自然科学版）》2016年第1期58-60,63,共4页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(11361028;11001001);安徽省高等学校省级自然科学研究重点项目(KJ2013A236)

摘　　要：利用半素滤子定义了相容并完备格,进而给出了相容并半连续格的概念以及研究了它的若干性质.此外,研究了相容并半连续格的映射性质,并得到相容并半连续格的任意收缩仍是相容并半连续格.In this paper,the consistent join-complete lattice was defined based on semiprime filter, and then the concept of consistent join-semicontinuous lattice was introduced and examined. In addition, some mapping properties of consistent join-semicontinuous lattice were also discussed and the fact that any retract of a consistent join-semicontinuous lattice is still consistent join-semicontinuous lattice also obtained.

关 键 词：半素滤子 相容半素滤子 相容并完备格 相容并半连续格 相容半素极大集 

分 类 号：O189.1[理学—数学] O153.1[理学—基础数学]